AIXI is designed to work in a computable environment, but AIXI itself is uncomputable. Therefore it would seem problematic for AIXI to take account of either itself or another AIXI machine in the world.
How well does AIXI perform in worlds that contain AIXIs, or other uncomputable entities? How well can a computable approximation to an AIXI perform in a world that contains such computable approximations? How well can any agent perform in a world containing agents with reasoning capabilities greater, lesser, or similar to its own?
AIXI is designed to work in a computable environment, but AIXI itself is uncomputable. Therefore it would seem problematic for AIXI to take account of either itself or another AIXI machine in the world.
How well does AIXI perform in worlds that contain AIXIs, or other uncomputable entities? How well can a computable approximation to an AIXI perform in a world that contains such computable approximations? How well can any agent perform in a world containing agents with reasoning capabilities greater, lesser, or similar to its own?